The probability that a component fails in a given time period is 0.01. His state (damaged, working)is checked by a test. This test with probability 0.05 reports that a working component is damaged,and always identifies damaged components. If the test indicates that the component is broken,what is the probability that it is really damaged?SOLUTION:P: = 0.168.

Probability that a component fails in a given time period is 0.01.Probability that the test…

Answered: The probability that a component fails…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting Corona virus, when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the result will imply s/he has the Corona virus.) If 0.5 percent of the population in King County has the virus, what is the probability a person has the virus given that his or her test result is positive?
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